Mathematics, 16.01.2020 15:31 SmokeyRN
Which of the following would be an acceptable first step in simplifying the expression sinx/1-sinx
Answers: 2
![\bf \cfrac{sin(x)}{1-sin(x)}\implies \cfrac{sin(x)}{1-sin(x)}\cdot \cfrac{1+sin(x)}{1+sin(x)}\implies \stackrel{first~step}{\cfrac{sin(x)[1+sin(x)]}{[1-sin(x)][1+sin(x)]}} \\\\\\ \cfrac{sin(x)[1+sin(x)]}{1^2-sin^2(x)}\implies \cfrac{sin(x)[1+sin(x)]}{cos^2(x)} \\\\\\ \cfrac{sin(x)+sin^2(x)}{cos^2(x)}\implies \cfrac{sin(x)}{cos^2(x)}+ \cfrac{sin^2(x)}{cos^2(x)} \\\\\\ \cfrac{sin(x)}{cos(x)}\cdot \cfrac{1}{cos(x)}+\cfrac{sin^2(x)}{cos^2(x)}\implies tan(x)sec(x)+tan^2(x) \\\\\\ tan(x)[sec(x)+tan(x)]](/tpl/images/0457/7971/b3c80.png)
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Which of the following would be an acceptable first step in simplifying the expression sinx/1-sinx
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